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Finding the Fourth Proportional to 13,464.64, 20,198.28 and 5,151.64

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Solution

The fourth proportional to 13,464.64, 20,198.28 and 5,151.64 is: 7,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.64 : 20,198.28 = 5,151.64 : x
  2. Step 2: Convert to fraction form
    13,464.64/20,198.28 = 5,151.64/x
  3. Step 3: Cross multiply
    13,464.64x = 20,198.28 × 5,151.64
  4. Step 4: Simplify right side
    13,464.64x = 104,054,267.18
  5. Step 5: Solve for x
    x = 104,054,267.18/13,464.64
  6. Step 6: Final answer
    x = 7,727.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.